Find the remaining sides of a 30-60-90 degree triangle if the longest side is 6.

Q: In an isosceles triangle, the vertex angle is 3 times the measure of one of the base angles. Find…

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Q: Can there be a right triangle with sides of length 1, 2, and 3? Why or why not? Can you find a right…

A: In a right angle triangle we know that Hypotenuse2 = Base 2+Perpendicular2

Q: Find the circumcenter of the triangle. 4 2 -2

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Q: Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the…

A: Let side of a square quilt be x inches hypotenuse of triangle=16 inches

Q: 2 feet, 40 inches

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Q: Which of the following could be the third side of a right triangle whose side lengths are 9 and 40?

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Q: if the hypotenuse of a 45, -45 and -90 degree triangle is 13, what is the length of one of the legs

A: Here the given right angle triangle having angles 45, 45, 90 Since the two angles of the given…

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

Q: side a on a right triangle is always the longest side true or false

A: Hypotenuse of a right triangle is always longest side.

Q: The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each…

A: Given In an isosceles triangle, The vertex angle is 10 less than 3 times its base angle We know that…

Q: Find the lengths of the sides of the triangle PQR. Р(1, -3, -4), Q(7, 0, 2), R(10, -6, -4)

A: Given Data: P(x1, y1, z1) = (1, -3, -4) Q(x2, y2, z2) = (7, 0, 2) R(x3, y3, z3) = (10, -6, -4)   The…

Q: Approximate the remaining parts of triangle ABC.β = 115°, a = 4.6, c = 7.3

A: Given  The triangle  ABC having β = 115°, a = 4.6, c = 7.3 .

Q: If the length of one side of an equilateral triangle is 2a, find the lengthof an altitude.

A: Given:  Length of one side of an equilateral triangle is 2a. To find: the length of its altitude.

Q: In a 30-60-90 triangle, the longer leg is times as long as the shorter leg

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Q: Find the lengths of the sides of the triangle with the indicated vertices (4, −1, −1), (2, 0, −4),…

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Q: 24

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Q: The hypotenuse of a 30-60-90 triangle is 30. What is the length of one of it's legs?

A: Given triangle have angle 30-60-90, hypotenuse = 30Hence it is right angle triangleSo,legs if base…

Q: Draw a right triangle with legs of 3.5 m and 2.5 m, and hypotenuse of 4.3 m. find the perimeter and…

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Q: Which triangle is a 30°-60°-90° triangle?

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Q: If the lengths of two sides of a right triangle are 6 and 10, find two possiblelengths for the third…

A: Given: The lengths of two sides of a right triangle are 6 and 10. To Find: Two possible lengths for…

Q: 3) Find the perimeter of this triangle.

A: The given triangle is a right triangle, as there is a square angle present. Apply the Pythagoras…

Q: Find the height of the triangle if the base is 3 and the area is 22

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Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is .................

A: Let,Base of the triangle = Base = 3Height of the triangle = Height = 4Hypotenuse of the triangle =…

Q: Solve for the side "c" of the smaller triangle (with shorter side c). Given: a=11.4, b-12.8, A-58°…

A: Given: a=11.4, b=12.8, A=58° Apply the cosine rule to find the side ''c''. a2=b2+c2-2bccosA

Q: In a 300 -600 -900 triangle, the hypotenuse is always ________ the shortest side, andthe side…

A: In 30-60-90 triangle hypotenuse=2 shorter legLonger leg=3shorter leg

Q: Find the remaining sides of a 30°-60°-90° triangle if the longest side is 5.

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Q: find the missing sides of the similar triangles

A: Let us assume two triangles ABC and DEF and both are similar triangles. let the sides of triangle…

Q: Solve for the sum of the angles and measure of a single angle in a regular 15-sided polygon.

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Q: AABC is an isosceles triangle with AB BC. If AB = 8x + 9, BC = 12x - 11, and AC = 9x - 8, find the…

A: An isosceles triangle is a triangle that has two sides of equal length.

Q: Find the value of the variables of this equilateral triangle.

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Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: In the triangle whose sides are 13, 20, and 21 cm long, the length of the altitude drawn to the…

A: Provided figure is: In ∆ABC, AP is altitude on side BC, BQ is altitude on side AC, CR is altitude…

Q: Find the perimeter of the triangle with vertices at A(0,0), B(-3,-4), and C(-6,0). What is the…

A: Given,           The triangle with vertices at A0,0 , B-3,-4 and C-6,0.

Q: Find the lengths of the three sides of the right triangle in the figure shown. 12 2x – 3

A: Pythagorean theorem: It states that, in a right angled triangle, the sum of squares of perpendicular…

Q: Which diagram shows that the two triangles must be congruent

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Q: List the sides of the given triangle from shortest to long 67 62 51 AB BC AC

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Q: AABC is an isosceles triangle with AB = BC. If AB = 14x-8, BC= 10x + 36, and AC = 18x + 20, find the…

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Q: Find the measure of a base angle of an isosceles triangle whose vertex angle measures 72.

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Q: Find the coordinates of the circumcenter of triangle ABC with A(6,2), B(-2,2), C(6,-4).

A: Consider the triangle ABC with three vertices: A(6,2), B(-2,2) and C(6,-4). The problem requires to…

Q: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7,…

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Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

Q: If triangle ABC is a right triangle with a = 20.5, b = 31.4, and C = 90 degree , solve thetriangle…

A: Given: a = 20.5, b = 31.4, and C = 90°

Q: Determine the missing leg length for a right triangle with hypotenuse 13.8 and a leg of 7.8

A: Consider a right triangle with hypotenuse 13.8 and a leg of 7.8 Let the missing leg length is 'x'…

Q: determine the altitude of the triangle having a dimension of 150m, 240m and a base of 300m

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Q: How do you find the remaining sides of a 45-45-90 triangle if the longest side is 28?

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Q: B(- 4, 4) {(-4, 1): A(3, 1)

A: Given: Vertices of a triangle ABC are A3,1, B-4,4 and C-4,1. To find the perimeter and area of given…

Q: Find the remaining sides of a 30°–60°–90° triangle if the longest side is 9.

A: Consider the following triangle: Apply the law of sine: asinA=bsinB=csinC Therefore,…

Q: If the three vertices of a triangle have coordinates(0,0), (0,3), and (5,0)how many square units are…

A: Given data:   The given first coordinate of the triangle is: A=(x1,y1)=(0,0). The given second…

Q: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60° angle

A: Given: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60°…